Optimal transportation
Subtitle: theory and applications
By: edited by Yann Ollivier, Université Paris-Sud, France, Hervé Pajot, Université de Grenoble, France, Cédric Villani, Université de Lyon, France
Series: London Mathematical Society lecture note series -- 413; London Mathematical Society lecture note series -- 413.
Publisher: Cambridge University Press
Published: 2014
Place of publication: Cambridge, United Kingdom
Language: eng
Number of pages: 306
ISBN-13: 9781107689497
Subjects: Combinatorial analysis; Mathematical optimization; Transportation problems (Programming); Matrices
Description: Lecture notes and research papers on optimal transportation, its applications, and interactions with other areas of mathematics.
Notes: Includes bibliographical references.
Table of contents: title: Short courses: Introduction to optimal transport theory / Filippo Santambrogio ; Models and applications of optimal transport in economics, traffic, and urban planning / Filippo Santambrogio ; Logarithmic Sobolev inequality for diffusion semigroups / Ivan Gentil ; Lecture notes on variational models for incompressible Euler equations / Luigi Ambrosio and Alessio Figalli; Ricci flow : the foundations via optimal transportation / Peter Topping ; Lecture notes on gradient flows and optimal transport / Sara Daneri and Giuseppe Savaré ; Ricci curvature, entropy, and optimal transport / Shin-ichi Ohta; title: Surveys and research papers: Computing a mass transport problem with a least-squares method / Olivier Besson, Martine Picq, and Jérome Poussin ; On the duality theory for the Monge-Kantorovich transport problem / Mathias Beiglböck, Christian Léonard, and Walter Schachermayer ; Optimal coupling for mean field limits / François Bolley ; Functional inequalities via Lyapunov conditions /PatrockCattiaux and Arnaud Guillin ; Size of the medial axis and stability of Federer's curvature measures / Quentin Mérigot.